GCF of 3/29, 45/20, 33/405, 255/788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3/29, 45/20, 33/405, 255/788 i.e 3/9255060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3/29, 45/20, 33/405, 255/788.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3/29,45/20,33/405,255/788?
Given fractions are 3/29,45/20,33/405,255/788
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 3/29,45/20,33/405,255/788, numerators are 3,45,33,255
Denominators are 29,20,405,788
The GCF of 3,45,33,255 is 3 .
LCM of 29,20,405,788 is 9255060.
The greatest common factor of 3/29,45/20,33/405,255/788 = [GCF of 3,45,33,255]/[LCM of 29,20,405,788]= 3/9255060
Therefore, the GCF of 3/29,45/20,33/405,255/788 is 3/9255060.
To find the highest common factor of 3,45,33,255, we have to find the factors of both numbers and list the highest common factor.
The factors of 3 are 1, 3
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 33 are 1, 3, 11, 33
The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255
The HCF of 3,45,33,255 is 3.
Lets's calculate GCF of 3,45,33,255
| 3 | 3, 45, 33, 255 |
| 1, 15, 11, 85 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3,45,33,255 By Matching Biggest Common Factor Method
Now, list down the factors of 3
:1,3
Now, list down the factors of 45
:1,3,5,9,15,45
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 255
:1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 3,45,33,255 . The biggest common factor number is the GCF number.
So the greatest common factor 3,45,33,255 is 3.
Lets's calculate LCM of 29,20,405,788
| 2 | 29, 20, 405, 788 |
| 2 | 29, 10, 405, 394 |
| 5 | 29, 5, 405, 197 |
| 29, 1, 81, 197 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 29 x 1 x 81 x 197 = 9255060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9255060
Therefore, the GCF of Fractions 3/29,45/20,33/405,255/788 is 3/9255060
Least Common Multiple of 29,20,405,788 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 29,20,405,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,20,405,788) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(29,20,405,788) x common factors =1 x 20 = 20
LCM(29,20,405,788) = ( 29 × 20 × 405 × 788 ) / 20
LCM(29,20,405,788) = 185101200 / 20
LCM(29,20,405,788) = 9255060
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3/29, 45/20, 33/405, 255/788
1. What is the HCF of 3,45,33,255?
The HCF of 3,45,33,255 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 3/29, 45/20, 33/405, 255/788?
Answer: GCF of Numerators as per given numbers 3/29, 45/20, 33/405, 255/788 is
GCF of Numerators i.e. for 3,45,33,255 is 3
LCM of denominators i.e. for 29,20,405,788 is 9255060.
Thus, GCF of Fractions is 3/9255060.Finally, GCF of Fractions for 3/29, 45/20, 33/405, 255/788 is 3/9255060.